Finding the Third Proportional to 65.34 and 103.97

Step by Step Solution

1. Step 1: Write the proportion equation
   65.34 : 103.97 = 103.97 : x
2. Step 2: Convert to fraction form
   65.34/103.97 = 103.97/x
3. Step 3: Cross multiply
   65.34x = 103.97 × 103.97
4. Step 4: Simplify right side
   65.34x = 10,809.50
5. Step 5: Solve for x
   x = 10,809.50/65.34
6. Step 6: Final answer
   x = 165.43